tablets excipients include: maize starch, polyvidone, magnesium
stearate and lactose.
Dairy intolerance that you have usually means lactose intolerance
but the content of lactose in medications is so minute that it should not cause any problems.
This is a progestogen-only-pill, and the manufacturer recommends CAUTION in those with severe carbohydrate
You need to discuss this with your doctor or choose another alternative. It will be difficult to find one without lactose so the Pharmacist would be a better start.